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Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In Problems 1-16, find the Fourier series of the function f on the given interval. Give the number to which the Fourier series converges at a point of discontinuity of S. [o, -T <x <0 1. f(x) = {1, %3D 0sx< T S-1, - <x<0 0sx< T -1 <x< 0 2 f(x) = 12, %3D S1, 3. f(x) = Lx, 0sx<1 4. f(x) = 1x, -1 <x<0 %3D 0sx<1 -T < x <0 5. f(x) = %3D 0Sx < TT - <x<O 6. f(x) = %3D m2 - x, 0Sx< T 7. f(x) = x + TT, -# < x< T 8. f(x) 3 2x, -T <x < T - -Ħ < x< 0 9. f(x) sin x, 0sx< TT so, 10. f(x) = -T/2 < x < o 0sx< T/2 %3D Cos x, 99+ hp 10 11
Transcribed Image Text:In Problems 1-16, find the Fourier series of the function f on the given interval. Give the number to which the Fourier series converges at a point of discontinuity of S. [o, -T <x <0 1. f(x) = {1, %3D 0sx< T S-1, - <x<0 0sx< T -1 <x< 0 2 f(x) = 12, %3D S1, 3. f(x) = Lx, 0sx<1 4. f(x) = 1x, -1 <x<0 %3D 0sx<1 -T < x <0 5. f(x) = %3D 0Sx < TT - <x<O 6. f(x) = %3D m2 - x, 0Sx< T 7. f(x) = x + TT, -# < x< T 8. f(x) 3 2x, -T <x < T - -Ħ < x< 0 9. f(x) sin x, 0sx< TT so, 10. f(x) = -T/2 < x < o 0sx< T/2 %3D Cos x, 99+ hp 10 11
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